I've been having problems with this as well which I outlined here:
http://openstudy.com/study#/updates/51329d78e4b093a1d948c906
The weird thing is that on Sunday night I suddenly found a message in my email that said:
"Hello qweqwe123123123123111,
We saw that you wanted us to resend the email you need to verify your email address with OpenStudy. So we commissioned an owl to hand type the link below just for you.[1] Just click or copy and paste the link below to make the verification happen.
http://openstudy.com/verify/qweqwe123123123123111/BCDS4TVPNRMEL....
Sincerely,
Owlfred & the OpenStudy Team"
I followed those instructions and suddenly this weirdly-named account which I created only to ask the question now works fine, but I still can't verify my original account (or any of the 3 others I created while trying to track the problem down).
The only upshot to all this is that I'm glad I'm not the only one that's been banging his head against the wall over this! :-)

You can verify the account by sending the electronic address listed on the account a notification of some sort. Or, changing the password by asking for it from the user who created the account. This would be considered verified because the user was the one who created the account.